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Finding the Fourth Proportional to 5,367.31, 7,406.84 and 3,380.47

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Solution

The fourth proportional to 5,367.31, 7,406.84 and 3,380.47 is: 4,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.31 : 7,406.84 = 3,380.47 : x
  2. Step 2: Convert to fraction form
    5,367.31/7,406.84 = 3,380.47/x
  3. Step 3: Cross multiply
    5,367.31x = 7,406.84 × 3,380.47
  4. Step 4: Simplify right side
    5,367.31x = 25,038,590.35
  5. Step 5: Solve for x
    x = 25,038,590.35/5,367.31
  6. Step 6: Final answer
    x = 4,665.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.